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Finding the Third Proportional to 22,709,880.75 and 49,253,025

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Solution

The third proportional to 22,709,880.75 and 49,253,025 is: 106,819,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709,880.75 : 49,253,025 = 49,253,025 : x
  2. Step 2: Convert to fraction form
    22,709,880.75/49,253,025 = 49,253,025/x
  3. Step 3: Cross multiply
    22,709,880.75x = 49,253,025 × 49,253,025
  4. Step 4: Simplify right side
    22,709,880.75x = 2,425,860,471,650,625
  5. Step 5: Solve for x
    x = 2,425,860,471,650,625/22,709,880.75
  6. Step 6: Final answer
    x = 106,819,604.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.